Greatest Common Factor of 137 and 142

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

• Greatest Common Factor of 137 and 142 by prime factorization method
• Greatest Common Factor of 137 and 142 by matching factors method

Prime Factorization of 137

Prime factors of 137 are 137. Prime factorization of 137 in exponential form is:

137 = 137¹

Prime Factorization of 142

Prime factors of 142 are 2.Prime factorization of 142 in exponential form is:

142 = 2¹×71¹

∴ So by taking common prime factors GCF of 137 and 142 is 1

Factors of 137

List of positive integer factors of 137 that divides 137 without a remainder.

1,137

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Greatest Common Factor

We found the factors and prime factorization of 137 and 142. The biggest common factor number is the GCF number.
So the greatest common factor 137 and 142 is 1.

Also check out the Least Common Multiple of 137 and 142

(i) The GCF of 137 and 142 is associative

GCF of 137 and 142 = GCF of 142 and 137

1. What is the GCF of 137 and 142?

Answer: GCF of 137 and 142 is 1.

2. What are the Factors of 137?

Answer: Factors of 137 are 1, 137. There are 2 integers that are factors of 137. The greatest factor of 137 is 137.

3. What are the Factors of 142?

Answer: Factors of 142 are 1, 2, 71, 142. There are 4 integers that are factors of 142. The greatest factor of 142 is 142.

4. How to Find the GCF of 137 and 142?

Answer:

Greatest Common Factor of 137 and 142 = 1

Step 1: Find the prime factorization of 137

137 = 137

Step 2: Find the prime factorization of 142

142 = 2 x 71

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 137 and 142 is 1